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2 years ago

Triangle PQR IS SIMILAR TO Triangle KLM.

Mathematics

1 answer:

barxatty [35]2 years ago

5 0

D. 168 in.

15/72 = 35/168

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A total of 31,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is

kupik [55]

Answer:

Bonds: $42,000

Certificates of deposit: $41,000

Step-by-step explanation:

Total invested = Amount in bonds + Amount in CDs

Amount in bonds = Amount in CDs + 1000

Let the amount in bonds = B and the amount in CDs = C

1. 83,000 = B + C

2. B = C+1000

Since the above expression (#2) defines B, you can substitute it for the B in the first equation (#1).

83,000 = C + 1000 + C

Now, you can solve for C.

83,000 = 2C + 1000

82,000 = 2C

41,000 = C

You know that the amount invested in bonds is $1000 greater than the amount invested in CDs, so add $1000 to C and you find B, $42,000.

4 0

2 years ago

margo borrows $900.00 and must pay it back with 6% interest after 7 months. what is the total amount margo will pay back ?

ozzi

Answer:

$954

Step-by-step explanation:

6% = 0.06

Adding 1 to the interest makes it so it’s added to the original amount.

$900 x 1.06 = $954

8 0

2 years ago

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE

Furkat [3]

Answer:

x = -6 and x = 4

Step-by-step explanation:

In math, the critical points of a function are the points where the derivative equals zero.

So, first we will find the derivative of the function. The derivative is:

$f'(x)=3x^2 +6x-72$

Now, we are going to make the derivative equal zero and find the answers of the equation.

$3x^2 +6x-72=0\\3(x^2 +2x-24)=0\\3(x+6)(x-4)=0\\$

So we have that the critical points are the answers to this equation:

$x+6= 0 \\x= - 6$

and

$x-4=0\\x=4$

Thus, the critical points are x=-6 and x=4

8 0

2 years ago

14 is 4 less than three times k

UkoKoshka [18]

14= 3k-4
_ less than _ = -
3* k simplified= 3k

6 0

2 years ago

Find the volume of the cylinder. Use 3.14 for Pi. Round your answer to the nearest hundredth.the height is 13 and the radius is

NikAS [45]

Answer:

The volume of the cylinder is 2002 square units.

Step-by-step explanation:

It is given that,

Height of the cylinder, h = 13 units

Radius of the cylinder, r = 7 units

We need to find the volume of the cylinder. The formula of the volume of cylinder is given by :

$V=\pi r^2 h\\\\V=\dfrac{22}{7}\times 7^2 \times 13\\\\V=2002\ \text{unit}^2$

So, the volume of the cylinder is 2002 square units.

4 0

2 years ago